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Optics measurements through K- MODULATION in LHC IR 4

Optics measurements through K- MODULATION in LHC IR 4. Emittance Meeting 05/12/2012. Motivation :. negligible. Since :. Therefore:. Reducing the Uncertainty on the beta. Emittance Meeting 05/12/2012. Technique :. Inducing a change in the strength of the quadrupole (k)

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Optics measurements through K- MODULATION in LHC IR 4

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  1. Optics measurements through K- MODULATION in LHC IR 4 Emittance Meeting 05/12/2012

  2. Motivation: negligible Since : Therefore: Reducing the Uncertainty on the beta. Emittance Meeting 05/12/2012

  3. Technique: • Inducing a change in the strength of the quadrupole (k) • Measuring the resulting tune change Far from integer and half integer tune resonances (our case) Checked with sub % differences Where: Emittance Meeting 05/12/2012

  4. K Modulation in IR 4 was repeated at: • Injection @ 450 GeV • Interesting results, worth checking for changes at higher energy • FlatTop @ 4000 TeV + Unsqueezed optics • FlatTop @ 4000 TeV+ Squeezed optics ADT OFF + INJECTION TUNES (less coupling) BEFORE THE SQUEEZE AFTER THE SQUEEZE SQUEEZE Emittance Meeting 05/12/2012

  5. RQ6 R4 Beam 1 @450 GeV Emittance Meeting 05/12/2012

  6. Emittance Meeting 05/12/2012

  7. Emittance Meeting 05/12/2012

  8. ws bsrt D3 IP 4 MQ.5R4.B2 MQ.6L4.B2 MQ.5L4.B2 Emittance Meeting 05/12/2012

  9. LIST OF THE MODULATED QUADRUPOLES : BEAM 1 BEAM 2 Bad measurement due to noisy tune steps MQY errors in the transfer function Emittance Meeting 05/12/2012

  10. Emittance Meeting 05/12/2012

  11. Emittance Meeting 05/12/2012

  12. BEAM 1 Emittance Meeting 05/12/2012

  13. BEAM 1 Emittance Meeting 05/12/2012

  14. BEAM 1 Emittance Meeting 05/12/2012

  15. BEAM 1 Emittance Meeting 05/12/2012

  16. BEAM 2 Emittance Meeting 05/12/2012

  17. BEAM 2 Emittance Meeting 05/12/2012

  18. BEAM 2 Emittance Meeting 05/12/2012

  19. Transport MEASURED VALUES AT RQ TO WS + UND +D3 1) ANALYTICAL METHOD ONLY WITH 2 QUADRUPOLES 2) MATCHING WITH MADX WITH 3 QUADRUPOLES Emittance Meeting 05/12/2012

  20. 1) ANALYTICAL METHOD IP 4 UND ws MQ.5L4.B1 MQ.5R4.B1 MQ.6R4.B1 MQ.7R4.B1 Transport Matrix between two point in the line is give by Where SO …. Depends only on: α,β,µ Emittance Meeting 05/12/2012

  21. @UND @6 T UND6 IP 4 UND ws MQ.5L4.B1 MQ.5R4.B1 MQ.6R4.B1 MQ.7R4.B1 T 65 KNOWN FORM MODEL @6 @5 Emittance Meeting 05/12/2012

  22. 2) MATCHING WITH MADX VARY Element 1 LINE IR 4 IP 4 UND ws MQ.5L4.B1 MQ.5R4.B1 MQ.6R4.B1 Constraints Constraints Emittance Meeting 05/12/2012

  23. Include Errors ANALYTICAL METHOD Q 1 Q 2 σmeas βWS/UND x,y MATCHING Q 1 βmeas σcacl Q 2 Q 3 βcalc Emittance Meeting 05/12/2012

  24. INJECTION BEAM 1 RESULTS BEAM 2 Emittance Meeting 05/12/2012

  25. FLATTOP BEFORE SQUEEZE BEAM 1 RESULTS BEAM 2 Emittance Meeting 05/12/2012

  26. FLATTOP AFTER SQUEEZE BEAM 1 RESULTS BEAM 2 Emittance Meeting 05/12/2012

  27. Emittance Meeting 05/12/2012

  28. Emittance Meeting 05/12/2012

  29. Emittance Meeting 05/12/2012

  30. Emittance Meeting 05/12/2012

  31. Beta from model For meas. During ramp,beta values are obtained from linear interpolation of the 450GeV values and 4 TeV values Plots Courtesy of Maria Kuhn Emittance Meeting 05/12/2012

  32. Beta from beta beating For meas. During ramp,beta values are obtained from linear interpolation of the 450GeV values and 4 TeV values Plots Courtesy of Maria Kuhn Emittance Meeting 05/12/2012

  33. Beta from K mod For meas. During ramp,beta values are obtained from linear interpolation of the 450GeV values and 4 TeV values Plots Courtesy of Maria Kuhn Emittance Meeting 05/12/2012

  34. Preliminary results for the BGI: Emittance Meeting 05/12/2012

  35. Preliminary results for the BGI: Emittance Meeting 05/12/2012

  36. THANK YOU FOR YOUR ATTENTION Emittance Meeting 05/12/2012

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